Suppose the following estimated regression equation was determined to predict salary based on years of experience. Estimated Salary = 29,136.63 + 2257.51( Years of Experience) What is the estimated salary for an employee with 24 years of experience?

Answer:

D) The metric system is based on powers of 10

Step-by-step explanation:

Because measurements in the metric system represented by a rational number stays a rational number after metric unit conversion because the metric system is built on powers of ten.

Example:

[tex]250[/tex] millimeters = [tex]25\\[/tex] centimeters = [tex]0.25[/tex] meters

The total amount that will be paid will be $89.70.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, Adryanna got a manicure for $35 and a pedicure for $43 and she plans on leaving a 15% tip

The total amount that will be paid will be:

= ($35 + $43) + (15% × $78)

= $78 + $11.7

= $89.7

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By using algebraic expression, the proof of

(a + b)(a - b) = a² - b² has been shown below-

What is algebraic expression?

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

Algebraic expressions are of different types based on number of terms.

They are monomial, binomial, trinomial and so on

Algebraic expression with one term is called monomial

Algebraic expression with two terms is called binomial

Algebraic expression with three terms is called trinomial

The given algebraic expression is

(a + b)(a - b)

a² - ab + ba - b²

a² - ab + ab - b² [Commutative law of addition]

a² - b²

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Answer:

Last option:

[tex]\dfrac{4x^4y^2}{z}[/tex]

Step-by-step explanation:

Original expression is

[tex]\dfrac{12x^6y^{-4}z^2}{3x^2y^{-6}z^3}\\\\[/tex]

Let us eliminate the obvious wrong answers

[tex]\dfrac{12}{3} = 4\\\\[/tex]

so the coefficient in the answer should be 4.

We can eliminate first and third choices

Now for each term with the same variable, compute the division
[tex]\dfrac{x^6}{x^2} = x^{6-2} = x^4\\\\[/tex]

Second choice is out so the last choice is the correct one.

We can go further with the other terms

[tex]\dfrac{y^{-4}}{y^{-6}} = y^{-4 - (-6)} = y ^{-4+6} = y^2[/tex]

[tex]\dfrac{z^2}{z^3} = z^{2-3} = z^{-1} = \dfrac{1}{z}[/tex]

Multiplying all these individual terms gives
[tex]4 \cdot x^4 \cdot y^2 \cdot \dfrac{1}{z}\\\\= \dfrac{4x^4y^2}{z}[/tex]

If in an analysis of variance problem involving 3 treatments and 10 observations per treatment, S S E = 399.6. The M S E for this situation is  C. 14.8.

We would be making use of this formula to find or determine the MSE which is the variance within the sample.

MSE = S S E / r (c-1)

Where:

MSE represent variance within the sample = ?

SSE represent sum of the squares of error = 399.6

r represent 3 treatment

c represent observation per treatment = 10

Let plug in the formula so as to know the variance within the sample (MSE )

Sample variance ( MSE ) = 399.6 /3 (10 - 1 )

Sample variance ( MSE ) = 399.6 / 3 (9)

Sample variance ( MSE ) = 399.6 / 27

Sample variance ( MSE ) = 14.8

Therefore  we can conclude that the correct option is C which is 14.8.

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The statement that best explains the graph of the equation is C. The time the car is owned is greater than 0.

The term graph in math defined as the diagram that represents the variation of a variable in comparison with that of one or more other variables.

Here we have given that The function y=16500/x + 1020x /x models my the average annual cost in dollars of owning a car for x years.

And we need to find the statement that explains the graph of y=16500/x + 1020x/x should have a vertical asymptote at x=0

While we looking into the given question, we have identified the function,

=> y = (16500 + 1020x)/x

In this one, where x denotes years and y denotes annual cost

Here we have given that the graph of the given equation should have vertical asymptote at x =0

Now, we have to refers the attached graph .

Here increase in the time the cost (y) decreases

Therefore, the time must be greater than 0 that the change in the cost appears .

Therefore, the graph of the given equation should have vertical asymptote at x =0 and the time the car is owned is greater than 0.

Therefore, Option C is correct

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The possible locations for the start of the trail are given as follows:

The current coordinates for Alexis position are given as follows:

(1,-4).

Meaning that:

East/West movements are horizontal, hence the x-coordinate is changed and the y-coordinate remains constant.

The changes are given as follows:

If the start of the trail is 3 miles west of the point (1,-4), 3 is subtracted from the x-coordinate, hence the coordinates are given as follows:

(1 - 3, -4) = (-2,-4).

If the start of the trail is 3 miles east of the point (1,-4), 3 is added to the x-coordinate, hence the coordinates are given as follows:

(1 + 3, -4) = (4,-4).

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Answer:

A line is defined by two points, and any other point that lies on the same line as those two points will also be on the same line. Therefore, to find the points that lie on the same line as (– 7,– 2) and (– 14,– 7), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

The slope of a line is calculated as the change in y-values divided by the change in x-values between two points on the line. In this case, the slope is (–7 – (–2))/(–14 – (–7)) = –5/–7 = 5/7.

The y-intercept is the point where the line crosses the y-axis, so we can plug in the value of x as 0 to find the y-intercept. Plugging in the values from one of the given points, we get y = (5/7) * (–7) + b = –5 + b, so b = –2.

Therefore, the equation of the line is y = (5/7)x – 2. Any point that satisfies this equation will lie on the same line as (– 7,– 2) and (– 14,– 7).

Some examples of points that lie on this line include (0, –2), (–7, –2), and (–14, –7).

The equation of the graph is [tex]-\frac{3x^{2} }{2x +6}[/tex]

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Answer: C

Step-by-step explanation:

due to the slope

Whole milk has 3.25 % milk fat in it. That means 100 grams has 3.25 % of milk fat. so,10 grams of milk has 0.325 milk fat in it.

What is milk fat?

The percentage of butterfat in milk, as measured by weight, is known as the fat content of milk. To create a range of goods, the fat content, notably of cow's milk, is altered. In order to facilitate instant identification, the milk container is typically marked with the amount of fat present.

Milk is important for the growth of the body. It plays for the growth and development of the body. 100 grams of milk fat has 3.25 % milk fat in it.

100 grams = 3.25 % of milk fat.

10 grams = x

x = 10 * 3.25 / 100

=0.325  %

Milk contains lots of proteins and minerals. It is essential for the growth of the body. It also contains important minerals such as calcium and proteins.

Therefore, Whole milk has 3.25 % milk fat in it. That means 100 grams has 3.25 % of milk fat. so,10 grams of milk has 0.325 milk fat in it.

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Answer:

Step-by-step explanation:

Solve the equation √x+4-3=1 for the variable. Show each step of your solution process.

[tex]\sqrt{x}[/tex] + 4 - 3 = 1

[tex]\sqrt{x}[/tex] = 1 - 4 + 3

[tex]\sqrt{x}[/tex] = -3 + 3

[tex]\sqrt{x}[/tex] = 0

x = 0

-----------------

check

[tex]\sqrt{0}[/tex] + 4 - 3 = 1

[tex]\sqrt{0}[/tex] = - 4 + 3 + 1

[tex]\sqrt{0}[/tex] = 0

0 = 0

the answer is good

Answer:

1200 beats in 3 seconds

or

400 more beats per second

Step-by-step explanation:

as we can see by the graph mosquitos beat their wings 600 times per second

600x3

1800 beats in 3 seconds

honey bees do it 600 times in 3 seconds so we subtract

1800-600

1200

hopes this helps please mark brainliest

The required answer for the given system of linear equations is No solution.

What is a system of linear equation?

A system of linear equations comprises two or more linear equations made up of two or more variables so that all equations in the system are considered simultaneously. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation. As a result, we are able to formulate linear equations with n variables.

Solve for the first variable in one of the equations, then substitute the result into the other equation, we will get

No solution

The graph of the given system of linear equations is given below

Hence, the required answer for the given system of linear equations is No solution.

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start by plugging values for x into the function

a) f(1) = 4 (1/2)^1

f(1) = 2

the first coordinate point is (1,2)

b) f(0) = 4(1/2)^0

f(0) = 4

(0,4)

this method will help you find the coordinate points and where to plot.

The different ways you could use all 4 measuring cups to measure 2 cups of flour are One 1/2 cup, two 1/4, three 1/6 and one & half 1/6 cup

From the question, we have the following parameters that can be used in our computation:

Flour = 2 cups

Measuring cups = 1/2 cup, 1/4 cup, 1/6 cup & 1/6 cup

Next, we create an expression from the measuring cups that have a value of 2

One instance is:

1 * 1/2 cup + 2 * 1/4 cup + 3 * 1/6 cup + 1/5 * 1/6 cup = 2 cups

Hence, the measurement is One 1/2 cup, two 1/4, three 1/6 and one & half 1/6 cup

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Complete question

A chocolate cake recipe calls for 2 cups of flour. You gather your measuring cups and notice you have these sizes: 1/2 cup, 1/4 cup, 1/6 cup & 1/6 cup.

What are the different ways you could use all 4 measuring cups to measure 2 cups of flour?​

Answer: the thing is I don’t know

Step-by-step explanation:

By solving simultaneous equation conditions, there are 26 small smoothies and 20 large smoothies.

What is the simultaneous equation?

Two or more algebraic equations that share variables, such as x and y, are referred to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations.

Given, total selling = $234

Let, x be the number of small smoothies sold

y be the number of large smoothies sold

Then, from the given condition,

x + y = 46 ⇒ x = 46-y   ........... (i)

4x + 6.5y = 234  ................. (ii)

Now, substituting the value of x from (i) in (ii), then

4(46-y) + 6.5y = 234

or, 184 - 4y + 6.5y = 234

or, 184 + 2.5y = 234

or, 2.5y = 234 - 184 = 50

or, y = 50/2.5 = 20

and, x = 46-20 = 26

Hence, 26 small smoothies and 20 large smoothies.

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Answer:

The answer is 256

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

4 · 4 · 8 · 2 = 256

The parametric equations for the tangent line to the given curve is x = 1-7t , y = 6t and z = 1-7t  .

In the question ,

it is given that ,

x = [tex]e^{-7t}[/tex]cos(6t), y = [tex]e^{-7t}[/tex]sin(6t), z = [tex]e^{-7t}[/tex] ,

So , the parametric equation of the curve will be ,

r(t) = [  [tex]e^{-7t}[/tex]cos(6t), [tex]e^{-7t}[/tex]sin(6t), [tex]e^{-7t}[/tex] ]

the point given as (1,0,1) implies that ,

[tex]e^{-7t}[/tex]cos(6t) = 1 , [tex]e^{-7t}[/tex] = 0 , sin(6t), [tex]e^{-7t}[/tex] = 1 which implies that ⇒ t = 0 .

So , the point (1,0,1) is the point r(0) .

Now , differentiating x , y and z with respect to t ,

we get ,

r'(t) = [  [tex]-e^{-7t}[/tex][7cos(6t) + 6sin(6t)], [tex]e^{-7t}[/tex][6cos(6t) - 7sin(6t)], [tex]-7e^{-7t}[/tex] ]

substituting , t = 0,

we get ,

r'(0) = [-7 , 6 , -7]

the equation of the tangent line passing through the point (1,0,1) and parallel to the tangent vector r'(0) is

r(t) = r(0) + tr'(0) = (1,0,1) + t(-7,6,-7)

So , r(t) = [ 1 - 7t , 6t , 1 - 7t ]

So , x = 1 - 7t   , y = 6t and  z = 1 - 7t  .

Therefore , the required parametric equations are x = 1 - 7t   , y = 6t and  z = 1 - 7t  .

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The characteristic polynomial of the given matrix is -λ³ + 16λ² - 67λ +60.

A polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

A polynomial matrix or matrix of polynomials is a matrix whose elements are univariate or multivariate polynomials.

OR a linear combination of the powers of a square matrix.

A matrix polynomial A 1(λ) = A 10 + … + A 1n1λn1 of order n1 is called a right divisor of a polynomial A (λ) of order n if there exists a matrix polynomial A 2(λ) = A 20 + … + A 2n2λn2 of order n2, n2 ≥ n − n1 such that A (λ) = A 2(λ) A 1(λ).

Let A =  4  -4 0

            -4  7  0

             4  6  5

The characteristics polynomial of A is |A -λɪ|

 |A -λɪ| = (4 -λ)    -4      0

                -4      (7-λ)    0

                 4         6     (5-λ)

 = (4-λ) [(7-λ)(5-λ) - 0] + 4[-4(5-λ) - 0] + 0[-4 -4(7-λ)]

 = (4-λ) [35 - 7λ - 5λ + λ²] +4[-20 + 4λ] + 0

 = (4-λ) [35 - 12λ + λ²] -80 + 16λ

 = 140 -48λ + 4λ² - 35λ + 12λ² - λ³ -80 +16λ

 = -λ³ + 16λ² - 67λ +60

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$50,700 he make in commission in​ 2011.

%Earns= 13% commission/week

Last week sold = $7,500

In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:

$Earns = 0.13 (decimal form)*$7,500

Earns = $975

Last week, he made $975 in commission.

If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year

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From the graph it is found that the mean for the number of books the boys read is 5 option C

From a set of data, the mean is the average of all the numbers.

From the graph, there are ten groups of books to be bought.  The numbers are 10+7+5+2+3+3+2+5+5+3=45

Now 45÷10=4.5≅5

The number 5 appears to be the mean of the books, therefore option C is the correct answer

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Answer:

b

Step-by-step explanation:

The binary search tree for the words banana, peach, apple, pear, coconut, mango, and papaya using alphabetical order is attached.

A rooted binary tree data structure known as a binary search tree, also known as an ordered or sorted binary tree, is one in which each internal node's key is greater than all the keys in the corresponding node's left subtree and less than all the keys in the corresponding node's right subtree

Banana, peach, apple, pear, coconut, mango, and papaya are the given words. Banana is where we begin. This is the first word, and we will then ensign it to the tree's root.

Peach is the next word on the list. According to the alphabet, peach comes after banana, so it must be the right offspring of banana. Apple is the next word on the list. Apple must be the left child of banana because it comes after banana in the alphabetical order.

Pear is the next word on the list. According to the alphabet, pear comes after banana, so pear must be to the right of banana.

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Answer:

$151.59

Step-by-step explanation:

$149.49 - $40 - $2.50 + $125.27 - $37.99 + $42.68 =

= $151.59

Answer: The current balance in her checking account is {$152.59}.

Step-by-step explanation:

To find out the current balance in LaToya's checking account, we need to calculate the net effect of all the transactions that have occurred in her account. We can do this by adding or subtracting the amounts of each transaction from her starting balance.

LaToya has $149.49 in her checking account at the start of the week. She withdraws $40 from the ATM, which reduces her balance by $40. She is also charged a usage fee of $2.50, which reduces her balance by $2.50. This means that her balance is now $149.49 - $40 - $2.50 = $107.99.

The following week, she deposits her paycheck of $125.27, which increases her balance by $125.27. She also writes two checks, one for $37.99 and the other for $42.68, which reduces her balance by $37.99 + $42.68 = $80.67.

Therefore, the current balance in LaToya's checking account is $107.99 + $125.27 - $80.67 = $152.59.

Therefore, the current balance in her checking account is {$152.59}.

The final volume of the gas is 2.8 L. The correct option is the second option 2.8 L

From the question, we are to determine the final volume of the gas.

From the general gas equation, we have that

P₁V₁/T₁ = P₂V₂/T₂

Where P₁ is the initial pressure

V₁ is the initial volume

T₁ is the initial temperature

P₂ is the final pressure

V₂ is the final volume

T₂ is the final temperature

From the given information,

P₁ = 1 atm

V₁ = 2.5 L

T₁ = 25 °C = 25 + 273.15 K = 298.15 K

P₂ = 0.85 atm

V₂ = ?

T₂ = 15 °C = 15 + 273.15 K = 288.15 K

Thus,

P₁V₁/T₁ = P₂V₂/T₂

(1 × 2.5)/298.15 = (0.85 × V₂)/288.15

V₂ = (1 × 2.5 × 288.15)/(0.85 × 298.15)

V₂ = 2.8425 L

V₂ ≈ 2.8 L

Hence, the volume is 2.8 L

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the triangle could represent in a relation as x = 60 - 2(y + z)  and x = 2z + 20.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The following linear equation accurately describes the circumstance where "The measure of the largest angle is 60 degrees less than the twice the sum of the measure of the other two angles":

x = 60 - 2(y + z) —- (1)

The following linear equation sums up the statement, "The largest angle is twice the smallest angle plus 20 degrees," as it applies to angles:

x = 2z + 20 —- (2)

Hence the triangle could represent in relation as x = 60 - 2(y + z)  and x = 2z + 20.

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Graph 1 represents the inverse of the function [tex]f(x)=\sqrt{x+1} -2[/tex]

What is the inverse of a function?

The visual representation of a function's inverse, given by the symbol f-1(x), is the original function mirrored across the line y=x. Only when f is a one-one and onto function does it exist.

The inverse of [tex]\sqrt{x+1} -2[/tex] is [tex]x^{2} +4x+3[/tex].

Plotting the inverse, we get the graph to be option 1.

Therefore, graph 1 represents the inverse of the function [tex]f(x)=\sqrt{x+1} -2[/tex]

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The inverse function of the function given as f(x) = [tex]\sqrt{x+1}[/tex] - 2 is f⁻¹(x) = x² + 4x +3. So, option 1 is since the point on f(x), (-1, -2) is mapped to (-2, -1) in its inverse function.

The steps for finding the inverse function, the steps to be followed are:

The given function is f(x) = [tex]\sqrt{x+1}[/tex] - 2  

Consider the given function as f(x) = y ⇒ y =  [tex]\sqrt{x+1}[/tex] - 2

Then, on rewriting the function for x, we get

y + 2 =  [tex]\sqrt{x+1}[/tex]

⇒ (y + 2)² = (x + 1)

⇒ x = y² + 4y + 4 - 1

⇒ x = y² + 4y + 3

Interchanging the variables y to x and x to y we get

y = x² + 4x + 3

Thus, the inverse of the given function is obtained. I.e,

f⁻¹(x) = x² + 4x +3

To identify the graph, the point that satisfies the given function is

f(x) = [tex]\sqrt{x+1}[/tex] - 2; for x = -1,

f(-1) = -2

So, the point is (-1, -2).

Then, its inverse is mapped from y to x. So, they are interchanged and it is (-2, -1).

From the given graphs, graph 1 shows this point on it. So, that is the required option.

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Answer: 20 units

Step-by-step explanation:

Since the rectangle is on the graph, we can directly count the units.

Perimeter is the sum of all sides.

4+4+6+6=20

The following equations is equivalent to y = -5x² + 20x - 6 = > y = -5(x + 10)² + 494.

Factoring 5x2-20x-6

The first term is,  5x2  its coefficient is  5 .

The middle term is,  -20x  its coefficient is  -20 .

The last term, "the constant", is  -6

Step-1 : Multiply the coefficient of the first term by the constant   5 • -6 = -30

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -20 .

     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1

     -3    +    10    =    7

     -2    +    15    =    13

     -1    +    30    =    29

Equation at the end of step2:   5x2 - 20x - 6  = 0

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 5 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

What is  Parabolas ? Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   2.0000  

Plugging into the parabola formula   2.0000  for  x  we can calculate the  y -coordinate :

 y = 5.0 * 2.00 * 2.00 - 20.0 * 2.00 - 6.0

or   y = -26.000

Root plot for :  y = 5x2-20x-6

Axis of Symmetry (dashed)  {x}={ 2.00}

Vertex at  {x,y} = { 2.00,-26.00}

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-0.28, 0.00}

Root 2 at  {x,y} = { 4.28, 0.00}

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